{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Statistical Process Control\n",
    "Written by Nagdev Amruthnath\n",
    "\n",
    "#### \"The objective of a process control system is to provide a statistical signal when assignable causes of variation are present\"\n",
    "\n",
    "### Load libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Installing package into ‘/usr/local/lib/R/site-library’\n",
      "(as ‘lib’ is unspecified)\n",
      "Package 'qcc' version 2.7\n",
      "Type 'citation(\"qcc\")' for citing this R package in publications.\n"
     ]
    }
   ],
   "source": [
    "# libraries\n",
    "#install.packages(\"qcc\")\n",
    "library(qcc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Get Some Sample Data\n",
    "In this tutorial, a generic data set called piston rings is used. Here, random samples piston ring's diameter is measured.   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>sample1</th><th scope=col>sample2</th><th scope=col>sample3</th><th scope=col>sample4</th><th scope=col>sample5</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>74.030</td><td>74.002</td><td>74.019</td><td>73.992</td><td>74.008</td></tr>\n",
       "\t<tr><td>73.995</td><td>73.992</td><td>74.001</td><td>74.011</td><td>74.004</td></tr>\n",
       "\t<tr><td>73.988</td><td>74.024</td><td>74.021</td><td>74.005</td><td>74.002</td></tr>\n",
       "\t<tr><td>74.002</td><td>73.996</td><td>73.993</td><td>74.015</td><td>74.009</td></tr>\n",
       "\t<tr><td>73.992</td><td>74.007</td><td>74.015</td><td>73.989</td><td>74.014</td></tr>\n",
       "\t<tr><td>74.009</td><td>73.994</td><td>73.997</td><td>73.985</td><td>73.993</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllll}\n",
       " sample1 & sample2 & sample3 & sample4 & sample5\\\\\n",
       "\\hline\n",
       "\t 74.030 & 74.002 & 74.019 & 73.992 & 74.008\\\\\n",
       "\t 73.995 & 73.992 & 74.001 & 74.011 & 74.004\\\\\n",
       "\t 73.988 & 74.024 & 74.021 & 74.005 & 74.002\\\\\n",
       "\t 74.002 & 73.996 & 73.993 & 74.015 & 74.009\\\\\n",
       "\t 73.992 & 74.007 & 74.015 & 73.989 & 74.014\\\\\n",
       "\t 74.009 & 73.994 & 73.997 & 73.985 & 73.993\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| sample1 | sample2 | sample3 | sample4 | sample5 |\n",
       "|---|---|---|---|---|\n",
       "| 74.030 | 74.002 | 74.019 | 73.992 | 74.008 |\n",
       "| 73.995 | 73.992 | 74.001 | 74.011 | 74.004 |\n",
       "| 73.988 | 74.024 | 74.021 | 74.005 | 74.002 |\n",
       "| 74.002 | 73.996 | 73.993 | 74.015 | 74.009 |\n",
       "| 73.992 | 74.007 | 74.015 | 73.989 | 74.014 |\n",
       "| 74.009 | 73.994 | 73.997 | 73.985 | 73.993 |\n",
       "\n"
      ],
      "text/plain": [
       "  sample1 sample2 sample3 sample4 sample5\n",
       "1 74.030  74.002  74.019  73.992  74.008 \n",
       "2 73.995  73.992  74.001  74.011  74.004 \n",
       "3 73.988  74.024  74.021  74.005  74.002 \n",
       "4 74.002  73.996  73.993  74.015  74.009 \n",
       "5 73.992  74.007  74.015  73.989  74.014 \n",
       "6 74.009  73.994  73.997  73.985  73.993 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " num [1:40, 1:5] 74 74 74 74 74 ...\n",
      " - attr(*, \"dimnames\")=List of 2\n",
      "  ..$ : chr [1:40] \"1\" \"2\" \"3\" \"4\" ...\n",
      "  ..$ : chr [1:5] \"sample1\" \"sample2\" \"sample3\" \"sample4\" ...\n"
     ]
    }
   ],
   "source": [
    "#load data\n",
    "data(pistonrings)\n",
    "diameter = with(pistonrings, qcc.groups(diameter, sample))\n",
    "\n",
    "#rename colmns\n",
    "colnames(diameter) = c(\"sample1\", \"sample2\",\"sample3\",\"sample4\",\"sample5\" )\n",
    "\n",
    "#show top data\n",
    "head(diameter)\n",
    "\n",
    "#type of data\n",
    "str(diameter)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### X-bar Chart & R Chart\n",
    "\n",
    "1. For variables that have continuous dimensions (Weight, speed, length, strength, etc.)\n",
    "2. X-charts are to control the central tendency of the process\n",
    "3. R-charts are to control the dispersion of the process\n",
    "4. These two charts must be used together\n",
    "\n",
    "#### X-bar chart"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Call:\n",
      "qcc(data = train, type = \"xbar\", newdata = test, confidence.level = conf)\n",
      "\n",
      "xbar chart for train \n",
      "\n",
      "Summary of group statistics:\n",
      "    Min.  1st Qu.   Median     Mean  3rd Qu.     Max. \n",
      "73.99020 73.99820 74.00080 74.00118 74.00420 74.01020 \n",
      "\n",
      "Group sample size:  5\n",
      "Number of groups:  25\n",
      "Center of group statistics:  74.00118\n",
      "Standard deviation:  0.009785039 \n",
      "\n",
      "Summary of group statistics in test:\n",
      "    Min.  1st Qu.   Median     Mean  3rd Qu.     Max. \n",
      "73.99220 74.00290 74.00720 74.00765 74.01270 74.02340 \n",
      "\n",
      "Group sample size:  5\n",
      "Number of groups:  15 \n",
      "\n",
      "Control limits:\n",
      "      LCL      UCL\n",
      " 73.98678 74.01558\n"
     ]
    },
    {
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gIj3RCaLwEAGE1OTk5bW5umpibeQVDDxcW1YcOGc+fO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\nGqMAY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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set parameters\n",
    "train = diameter[1:25,]\n",
    "test = diameter[26:nrow(diameter),]\n",
    "conf = 0.999\n",
    "\n",
    "# Adjust plot sizes\n",
    "options(repr.plot.width = 15, repr.plot.height = 6)\n",
    "\n",
    "#Xbar chart\n",
    "xBar = qcc(train,\n",
    "           type=\"xbar\",\n",
    "           newdata = test,\n",
    "           confidence.level=conf           \n",
    "          )\n",
    "#smmary of analysis\n",
    "summary(xBar)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the above x-bar chart, we can notice that from the train data lower control (LCL) and upper control limits (UCL) are generated. LCL = 73.98 and UCL = 74.01. We also know that center is 74.001. From the test data, there were total of 3 samples that were out of control. \n",
    "\n",
    "### R-Chart\n",
    "\n",
    "R-charts are used to detect any variation in the samples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Call:\n",
      "qcc(data = train, type = \"R\", newdata = test, confidence.level = conf)\n",
      "\n",
      "R chart for train \n",
      "\n",
      "Summary of group statistics:\n",
      "   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. \n",
      "0.00800 0.01800 0.02100 0.02276 0.02600 0.03900 \n",
      "\n",
      "Group sample size:  5\n",
      "Number of groups:  25\n",
      "Center of group statistics:  0.02276\n",
      "Standard deviation:  0.009785039 \n",
      "\n",
      "Summary of group statistics in test:\n",
      "      Min.    1st Qu.     Median       Mean    3rd Qu.       Max. \n",
      "0.01400000 0.01900000 0.02500000 0.02453333 0.02750000 0.04400000 \n",
      "\n",
      "Group sample size:  5\n",
      "Number of groups:  15 \n",
      "\n",
      "Control limits:\n",
      "         LCL        UCL\n",
      " 0.003015968 0.05598777\n"
     ]
    },
    {
     "data": {
      "image/png": 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DKFvOf4bOd4iR+L8Q7CFMem0bHHXUmX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\npJd98sdI+gK5JAfhC1FdH/3LaX0Qym+UlvCSEoQ5/iCUZ2gr4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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Adjust plot sizes\n",
    "options(repr.plot.width = 15, repr.plot.height = 6)\n",
    "\n",
    "#Xbar chart\n",
    "Rchart = qcc(train,\n",
    "           type=\"R\",\n",
    "           newdata = test,\n",
    "           confidence.level=conf           \n",
    "          )\n",
    "\n",
    "#smmary of analysis\n",
    "summary(Rchart)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## P-charts & C-Charts\n",
    "1. For variables that are categorical \n",
    "2. Good/bad, yes/no, acceptable/unacceptable\n",
    "3. Measurement is typically counting defectives\n",
    "4. Charts may measure\n",
    "5. Percent defective (p-chart)\n",
    "6. Number of defects (c-chart)\n",
    "\n",
    "For this tutorial, we will be using Orange Juice data\n",
    "\n",
    "### P-charts\n",
    "\n",
    "Population will be a binomial distribution, but applying the Central Limit Theorem allows us to assume a normal distribution for the sample statistics\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t54 obs. of  4 variables:\n",
      " $ sample: int  1 2 3 4 5 6 7 8 9 10 ...\n",
      " $ D     : int  12 15 8 10 4 7 16 9 14 10 ...\n",
      " $ size  : int  50 50 50 50 50 50 50 50 50 50 ...\n",
      " $ trial : logi  TRUE TRUE TRUE TRUE TRUE TRUE ...\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>sample</th><th scope=col>D</th><th scope=col>size</th><th scope=col>trial</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>1   </td><td>12  </td><td>50  </td><td>TRUE</td></tr>\n",
       "\t<tr><td>2   </td><td>15  </td><td>50  </td><td>TRUE</td></tr>\n",
       "\t<tr><td>3   </td><td> 8  </td><td>50  </td><td>TRUE</td></tr>\n",
       "\t<tr><td>4   </td><td>10  </td><td>50  </td><td>TRUE</td></tr>\n",
       "\t<tr><td>5   </td><td> 4  </td><td>50  </td><td>TRUE</td></tr>\n",
       "\t<tr><td>6   </td><td> 7  </td><td>50  </td><td>TRUE</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       " sample & D & size & trial\\\\\n",
       "\\hline\n",
       "\t 1    & 12   & 50   & TRUE\\\\\n",
       "\t 2    & 15   & 50   & TRUE\\\\\n",
       "\t 3    &  8   & 50   & TRUE\\\\\n",
       "\t 4    & 10   & 50   & TRUE\\\\\n",
       "\t 5    &  4   & 50   & TRUE\\\\\n",
       "\t 6    &  7   & 50   & TRUE\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| sample | D | size | trial |\n",
       "|---|---|---|---|\n",
       "| 1    | 12   | 50   | TRUE |\n",
       "| 2    | 15   | 50   | TRUE |\n",
       "| 3    |  8   | 50   | TRUE |\n",
       "| 4    | 10   | 50   | TRUE |\n",
       "| 5    |  4   | 50   | TRUE |\n",
       "| 6    |  7   | 50   | TRUE |\n",
       "\n"
      ],
      "text/plain": [
       "  sample D  size trial\n",
       "1 1      12 50   TRUE \n",
       "2 2      15 50   TRUE \n",
       "3 3       8 50   TRUE \n",
       "4 4      10 50   TRUE \n",
       "5 5       4 50   TRUE \n",
       "6 6       7 50   TRUE "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#load data\n",
    "data(orangejuice)\n",
    "\n",
    "#summary of data\n",
    "str(orangejuice)\n",
    "head(orangejuice)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "where, \n",
    "sample = sample id  \n",
    "D = number of defectives  \n",
    "size = sample sizes  \n",
    "trial = trial samples (TRUE/FALSE)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Call:\n",
      "qcc(data = D[trial], type = \"p\", sizes = size[trial])\n",
      "\n",
      "p chart for D[trial] \n",
      "\n",
      "Summary of group statistics:\n",
      "     Min.   1st Qu.    Median      Mean   3rd Qu.      Max. \n",
      "0.0800000 0.1600000 0.2100000 0.2313333 0.2950000 0.4800000 \n",
      "\n",
      "Group sample size:  50\n",
      "Number of groups:  30\n",
      "Center of group statistics:  0.2313333\n",
      "Standard deviation:  0.421685 \n",
      "\n",
      "Control limits:\n",
      "           LCL       UCL\n",
      "    0.05242755 0.4102391\n",
      "    0.05242755 0.4102391\n",
      "...                     \n",
      "    0.05242755 0.4102391\n"
     ]
    },
    {
     "data": {
      "image/png": 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QIXqZTaFQ3Lp1S7e7JgBJ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HAXhoz549qqqqkyZN+vtlYmJiMTEx+vr6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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#p-chart\n",
    "q1 = with(orangejuice, \n",
    "          qcc(D[trial], \n",
    "              sizes=size[trial], \n",
    "              type=\"p\"))\n",
    "\n",
    "#summary of chart\n",
    "summary(q1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### C-Charts\n",
    "C-Chart tells us the number of defectives. Population will be a Poisson distribution, but applying the Central Limit Theorem allows us to assume a normal distribution for the sample statistics\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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s7Ozhw4crFAo3N7fFixfz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dOhRVJPxQqdTp06e/e/dOXl4edRbQo9Fo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\nmZnZv39/JSUl0iEAvGDIkCFubm5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GPHDg8PD2mwqKhowoQJ69ev9/T09PLyetEZvvjiCwsLi2+/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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "q1 = with(orangejuice, \n",
    "          qcc(D[trial], sizes=size[trial], type=\"c\"))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### References\n",
    "[1] Montgomery, D.C. (1991) Introduction to Statistical Quality Control, 2nd ed, New York, John Wiley & Sons, pp. 152–155.  \n",
    "[2] Scrucca, L. (2004) qcc: an R package for quality control charting and statistical process control. R News 4/1, 11-17.\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ride"
  },
  "language_info": {
   "file_extension": ".r",
   "mimetype": "text/x-rsrc",
   "name": "r",
   "version": "R version 3.4.4 (2018-03-15)"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
